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pro vyhledávání: '"Horel Á"'
Autor:
Cirici, Joana, Horel, Geoffroy
In this note, we explain an operadic proof of the BTT Theorem stating that the deformation theory of Calabi-Yau varieties is unobstructed. We also provide a short new proof of the non-commutative BTT for Calabi-Yau dg-categories. Finally, we observe
Externí odkaz:
http://arxiv.org/abs/2410.08786
Autor:
Horel, Geoffroy
We attack the question of E_2-formality of differential graded algebras over prime fields via obstruction theory. We are able to prove that E_2-algebras whose cohomology ring is a polynomial algebra on even degree classes are intrinsically formal. As
Externí odkaz:
http://arxiv.org/abs/2407.16236
Autor:
Emprin, Coline, Horel, Geoffroy
Publikováno v:
Higher Structures and Operadic Calculus, Advanced Courses in Mathematics - CRM Barcelona, Springer, 2024
This is a survey on formality results relying on weight structures. A weight structure is a naturally occurring grading on certain differential graded algebras. If this weight satisfies a purity property, one can deduce formality. Algebraic geometry
Externí odkaz:
http://arxiv.org/abs/2406.19142
We consider a Stackelberg game in which a principal (she) establishes a two-stage contract with a non-myopic agent (he) whose type is unknown. The contract takes the form of an incentive function mapping the agent's first-stage action to his second-s
Externí odkaz:
http://arxiv.org/abs/2406.12648
Autor:
Horel, Geoffroy, Willwacher, Thomas
Let $\mathsf P$ be an operad acted upon by a group $G$, and let $\mathsf Q=\mathsf P\rtimes G$ be the corresponding framed operad. We relate the homotopy automorphism groups of $\mathsf P$ and $\mathsf Q$. We apply the result to compute the automorph
Externí odkaz:
http://arxiv.org/abs/2403.11185
Modern data sets, such as those in healthcare and e-commerce, are often derived from many individuals or systems but have insufficient data from each source alone to separately estimate individual, often high-dimensional, model parameters. If there i
Externí odkaz:
http://arxiv.org/abs/2310.02864
We consider games of incomplete information in which the players' payoffs depend both on a privately observed type and an unknown but common "state of nature". External to the game, a data provider knows the state of nature and sells information to t
Externí odkaz:
http://arxiv.org/abs/2302.12223
Autor:
Cirici, Joana, Horel, Geoffroy
Any Batalin-Vilkovisky algebra with a homotopy trivialization of the BV-operator gives rise to a hypercommutative algebra structure at the cochain level which, in general, contains more homotopical information than the hypercommutative algebra introd
Externí odkaz:
http://arxiv.org/abs/2302.08492
Autor:
Horel, Geoffroy
We produce a fully faithful functor from finite type nilpotent spaces to cosimplicial binomial rings, thus giving an algebraic model of integral homotopy types. As an application, we construct an integral version of the Grothendieck-Teichm\"uller gro
Externí odkaz:
http://arxiv.org/abs/2211.02349
We record two facts on spaces of derived maps between the operads $E_d$ of little $d$-cubes. Firstly, these mapping spaces are equivalent to the mapping spaces between the non-unitary versions of $E_d$. Secondly, all endomorphisms of $E_d$ are automo
Externí odkaz:
http://arxiv.org/abs/2211.00908